标题： 在随机网络上的布谢-梅扎尔模型 显示英文标题

标题： Bouchaud-Mézard model on a random network

摘要： 我们研究了Bouchaud-Mézard（BM）模型，该模型被提出用以解释现实经济中的帕累托定律，在一个随机网络上进行了研究。利用“绝热且独立”的假设，我们解析得到了财富的平稳概率分布函数。结果表明，财富凝聚——由财富方差的发散所指示——发生在比平均场理论得到的值更大的$J$上，其中$J$表示代理之间相互作用的强度。我们将我们的结果与数值模拟的结果进行了比较，发现它们很好地吻合。 显示英文摘要

摘要： We studied the Bouchaud-M\'ezard(BM) model, which was introduced to explain Pareto's law in a real economy, on a random network. Using "adiabatic and independent" assumptions, we analytically obtained the stationary probability distribution function of wealth. The results shows that wealth-condensation, indicated by the divergence of the variance of wealth, occurs at a larger $J$ than that obtained by the mean-field theory, where $J$ represents the strength of interaction between agents. We compared our results with numerical simulation results and found that they were in good agreement.